{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Linear Regression.ipynb",
      "version": "0.3.2",
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "metadata": {
        "id": "oHxQbKZci27E",
        "colab_type": "code",
        "outputId": "703199c8-c579-4894-bd44-1bc1e8317fd1",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1020
        }
      },
      "cell_type": "code",
      "source": [
        "!pip3 install torch"
      ],
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Collecting torch\n",
            "\u001b[?25l  Downloading https://files.pythonhosted.org/packages/7e/60/66415660aa46b23b5e1b72bc762e816736ce8d7260213e22365af51e8f9c/torch-1.0.0-cp36-cp36m-manylinux1_x86_64.whl (591.8MB)\n",
            "\u001b[K    100% |████████████████████████████████| 591.8MB 23kB/s \n",
            "tcmalloc: large alloc 1073750016 bytes == 0x614fa000 @  0x7f296ec2c2a4 0x591a07 0x5b5d56 0x502e9a 0x506859 0x502209 0x502f3d 0x506859 0x504c28 0x502540 0x502f3d 0x506859 0x504c28 0x502540 0x502f3d 0x506859 0x504c28 0x502540 0x502f3d 0x507641 0x502209 0x502f3d 0x506859 0x504c28 0x502540 0x502f3d 0x507641 0x504c28 0x502540 0x502f3d 0x507641\n",
            "\u001b[?25hInstalling collected packages: torch\n",
            "Successfully installed torch-1.0.0\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {
        "id": "g90d_JwFi8I7",
        "colab_type": "code",
        "colab": {}
      },
      "cell_type": "code",
      "source": [
        "import torch\n",
        "import torch.nn as nn\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "metadata": {
        "id": "BkdXhIlXvKzM",
        "colab_type": "code",
        "outputId": "9ea4075e-1585-4c9b-d057-4a948cb87611",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 378
        }
      },
      "cell_type": "code",
      "source": [
        "X = torch.randn(100, 1)*10\n",
        "y = X + 3*torch.randn(100, 1)\n",
        "plt.plot(X.numpy(), y.numpy(), 'o')\n",
        "plt.ylabel('y')\n",
        "plt.xlabel('x')"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 0, 'x')"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 3
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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EOQDPpdLLtNsiZiXMQZVOOM+aXqnGuhmqjhQrf0SeqiPFaqybYcTIAzLH0DoAz6UyBGwX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\n5AAAGIwgBwDAYAQ5AAAGI8gBADDY/wEZYAq3NKw4GAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "Voo3RX1IYz21",
        "colab_type": "code",
        "colab": {}
      },
      "cell_type": "code",
      "source": [
        "class LR(nn.Module):\n",
        "  def __init__(self, input_size, output_size):\n",
        "    super().__init__()\n",
        "    self.linear = nn.Linear(input_size, output_size)\n",
        "  def forward(self, x):\n",
        "    pred = self.linear(x)\n",
        "    return pred"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "metadata": {
        "id": "PeyVS6V_aBfy",
        "colab_type": "code",
        "outputId": "84dbdbae-8cd6-4d39-ac3b-862c9c0df5c9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 68
        }
      },
      "cell_type": "code",
      "source": [
        "torch.manual_seed(1)\n",
        "model = LR(1, 1)\n",
        "print(model)"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "LR(\n",
            "  (linear): Linear(in_features=1, out_features=1, bias=True)\n",
            ")\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {
        "id": "e1HHLRTbaeZF",
        "colab_type": "code",
        "colab": {}
      },
      "cell_type": "code",
      "source": [
        "[w, b] = model.parameters()\n",
        "def get_params():\n",
        "  return (w[0][0].item(), b[0].item())"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "metadata": {
        "id": "x1bjDI3vxEmd",
        "colab_type": "code",
        "colab": {}
      },
      "cell_type": "code",
      "source": [
        "def plot_fit(title):\n",
        "  plt.title = title\n",
        "  w1, b1 = get_params()\n",
        "  x1 = np.array([-30, 30])\n",
        "  y1 = w1*x1 + b1\n",
        "  plt.plot(x1, y1, 'r')\n",
        "  plt.scatter(X, y)\n",
        "  plt.show()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "metadata": {
        "id": "wYEJKbTEy2Ci",
        "colab_type": "code",
        "outputId": "162542b8-3a08-4cdf-c8d3-74f6670f0eb7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 347
        }
      },
      "cell_type": "code",
      "source": [
        "plot_fit('Initial Model')"
      ],
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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FKZbV0eHEwi6wWnrS8R0weD3w98vHwa/MxPoRX8FRUymK/2HC6Kt0mPTlQTj4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\n",
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "4Z9-HIA0y5S7",
        "colab_type": "code",
        "colab": {}
      },
      "cell_type": "code",
      "source": [
        "criterion = nn.MSELoss()\n",
        "optimizer = torch.optim.SGD(model.parameters(), lr = 0.01)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "metadata": {
        "id": "wu4Qzn3PCeJ9",
        "colab_type": "code",
        "outputId": "bcdc1419-824e-4bd5-d697-a66955589708",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1717
        }
      },
      "cell_type": "code",
      "source": [
        "epochs = 100\n",
        "losses = []\n",
        "for i in range(epochs):\n",
        "  y_pred = model.forward(X)\n",
        "  loss = criterion(y_pred, y)\n",
        "  print(\"epoch:\", i, \"loss:\", loss.item())\n",
        "  \n",
        "  losses.append(loss)\n",
        "  optimizer.zero_grad()\n",
        "  loss.backward()\n",
        "  optimizer.step()"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "epoch: 0 loss: 34.606773376464844\n",
            "epoch: 1 loss: 32.641448974609375\n",
            "epoch: 2 loss: 30.837696075439453\n",
            "epoch: 3 loss: 29.182172775268555\n",
            "epoch: 4 loss: 27.662689208984375\n",
            "epoch: 5 loss: 26.2680606842041\n",
            "epoch: 6 loss: 24.987957000732422\n",
            "epoch: 7 loss: 23.813003540039062\n",
            "epoch: 8 loss: 22.734525680541992\n",
            "epoch: 9 loss: 21.744590759277344\n",
            "epoch: 10 loss: 20.835914611816406\n",
            "epoch: 11 loss: 20.001802444458008\n",
            "epoch: 12 loss: 19.236114501953125\n",
            "epoch: 13 loss: 18.533241271972656\n",
            "epoch: 14 loss: 17.88799285888672\n",
            "epoch: 15 loss: 17.295654296875\n",
            "epoch: 16 loss: 16.751863479614258\n",
            "epoch: 17 loss: 16.252628326416016\n",
            "epoch: 18 loss: 15.794288635253906\n",
            "epoch: 19 loss: 15.373481750488281\n",
            "epoch: 20 loss: 14.987119674682617\n",
            "epoch: 21 loss: 14.632369995117188\n",
            "epoch: 22 loss: 14.306648254394531\n",
            "epoch: 23 loss: 14.007560729980469\n",
            "epoch: 24 loss: 13.73292064666748\n",
            "epoch: 25 loss: 13.480721473693848\n",
            "epoch: 26 loss: 13.249117851257324\n",
            "epoch: 27 loss: 13.036426544189453\n",
            "epoch: 28 loss: 12.841087341308594\n",
            "epoch: 29 loss: 12.661684036254883\n",
            "epoch: 30 loss: 12.496904373168945\n",
            "epoch: 31 loss: 12.345552444458008\n",
            "epoch: 32 loss: 12.206522941589355\n",
            "epoch: 33 loss: 12.078808784484863\n",
            "epoch: 34 loss: 11.9614839553833\n",
            "epoch: 35 loss: 11.853694915771484\n",
            "epoch: 36 loss: 11.754661560058594\n",
            "epoch: 37 loss: 11.663664817810059\n",
            "epoch: 38 loss: 11.58005142211914\n",
            "epoch: 39 loss: 11.503213882446289\n",
            "epoch: 40 loss: 11.432601928710938\n",
            "epoch: 41 loss: 11.367704391479492\n",
            "epoch: 42 loss: 11.308053016662598\n",
            "epoch: 43 loss: 11.25322151184082\n",
            "epoch: 44 loss: 11.202813148498535\n",
            "epoch: 45 loss: 11.156472206115723\n",
            "epoch: 46 loss: 11.113862991333008\n",
            "epoch: 47 loss: 11.074682235717773\n",
            "epoch: 48 loss: 11.038651466369629\n",
            "epoch: 49 loss: 11.005512237548828\n",
            "epoch: 50 loss: 10.975030899047852\n",
            "epoch: 51 loss: 10.946990013122559\n",
            "epoch: 52 loss: 10.92119312286377\n",
            "epoch: 53 loss: 10.897455215454102\n",
            "epoch: 54 loss: 10.875611305236816\n",
            "epoch: 55 loss: 10.855506896972656\n",
            "epoch: 56 loss: 10.83700180053711\n",
            "epoch: 57 loss: 10.819965362548828\n",
            "epoch: 58 loss: 10.804278373718262\n",
            "epoch: 59 loss: 10.789833068847656\n",
            "epoch: 60 loss: 10.776528358459473\n",
            "epoch: 61 loss: 10.764272689819336\n",
            "epoch: 62 loss: 10.75298023223877\n",
            "epoch: 63 loss: 10.742575645446777\n",
            "epoch: 64 loss: 10.732985496520996\n",
            "epoch: 65 loss: 10.72414493560791\n",
            "epoch: 66 loss: 10.715993881225586\n",
            "epoch: 67 loss: 10.708476066589355\n",
            "epoch: 68 loss: 10.701542854309082\n",
            "epoch: 69 loss: 10.695145606994629\n",
            "epoch: 70 loss: 10.689242362976074\n",
            "epoch: 71 loss: 10.683794021606445\n",
            "epoch: 72 loss: 10.678763389587402\n",
            "epoch: 73 loss: 10.674118041992188\n",
            "epoch: 74 loss: 10.66982650756836\n",
            "epoch: 75 loss: 10.665861129760742\n",
            "epoch: 76 loss: 10.66219711303711\n",
            "epoch: 77 loss: 10.658808708190918\n",
            "epoch: 78 loss: 10.65567684173584\n",
            "epoch: 79 loss: 10.652778625488281\n",
            "epoch: 80 loss: 10.650097846984863\n",
            "epoch: 81 loss: 10.647615432739258\n",
            "epoch: 82 loss: 10.645318031311035\n",
            "epoch: 83 loss: 10.643189430236816\n",
            "epoch: 84 loss: 10.641217231750488\n",
            "epoch: 85 loss: 10.639389038085938\n",
            "epoch: 86 loss: 10.637694358825684\n",
            "epoch: 87 loss: 10.636122703552246\n",
            "epoch: 88 loss: 10.634663581848145\n",
            "epoch: 89 loss: 10.633308410644531\n",
            "epoch: 90 loss: 10.632051467895508\n",
            "epoch: 91 loss: 10.63088321685791\n",
            "epoch: 92 loss: 10.629796981811523\n",
            "epoch: 93 loss: 10.62878704071045\n",
            "epoch: 94 loss: 10.627848625183105\n",
            "epoch: 95 loss: 10.626974105834961\n",
            "epoch: 96 loss: 10.626160621643066\n",
            "epoch: 97 loss: 10.625402450561523\n",
            "epoch: 98 loss: 10.624695777893066\n",
            "epoch: 99 loss: 10.62403678894043\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {
        "id": "j3D-8o6MDXO9",
        "colab_type": "code",
        "outputId": "dcbebc38-7284-43f1-d61b-afa252244857",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 378
        }
      },
      "cell_type": "code",
      "source": [
        "plt.plot(range(epochs), losses)\n",
        "plt.ylabel('Loss')\n",
        "plt.xlabel('epoch')"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 0, 'epoch')"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 11
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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3V0FBgTZv3qyHH35Yzz77rNm1RQW7zaaLh2SqsTmgrXuqrC4HABDBuhTa8fHx6tevnz74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\nAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "VwsPWhWJFONF",
        "colab_type": "code",
        "outputId": "99806a4f-2eca-465e-d166-ae39ea701b32",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 347
        }
      },
      "cell_type": "code",
      "source": [
        "plot_fit(\"Trained Model\")"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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8LVYiucJ1+t3Z2GkgV5y8FYwq1VXYcucuCiQGMlEEcLem9kq23uPZzKWBFaWQ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\n",
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "Eyc77EKUFYgZ",
        "colab_type": "code",
        "colab": {}
      },
      "cell_type": "code",
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    }
  ]
}